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Simplifying 16 + -1(n + -8) = 3n + 14 + -2n Reorder the terms: 16 + -1(-8 + n) = 3n + 14 + -2n 16 + (-8 * -1 + n * -1) = 3n + 14 + -2n 16 + (8 + -1n) = 3n + 14 + -2n Combine like terms: 16 + 8 = 24 24 + -1n = 3n + 14 + -2n Reorder the terms: 24 + -1n = 14 + 3n + -2n Combine like terms: 3n + -2n = 1n 24 + -1n = 14 + 1n Solving 24 + -1n = 14 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 24 + -1n + -1n = 14 + 1n + -1n Combine like terms: -1n + -1n = -2n 24 + -2n = 14 + 1n + -1n Combine like terms: 1n + -1n = 0 24 + -2n = 14 + 0 24 + -2n = 14 Add '-24' to each side of the equation. 24 + -24 + -2n = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -2n = 14 + -24 -2n = 14 + -24 Combine like terms: 14 + -24 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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